Integral Equations
In Exercises 7–12, write an equivalent first-order differential equation
and initial condition for y.


y = ∫₁ ͯ 1/t dt

Show that (0, 0) and (c/d, a/b) are equilibrium points. Explain the meaning of each of these points.

First-Order Linear Equations

Solve the differential equations in Exercises 1–14.

y' + (tanx)y = cos²x, -π/2 < x < π/2

First-Order Linear Equations

Solve the differential equations in Exercises 1–14.

(1+x)y' + y = √x

Integral Equations

In Exercises 7–12, write an equivalent first-order differential equation

and initial condition for y.

y = 1 + ∫₀ ͯ y(t) dt

Solving Initial Value Problems

Solve the initial value problems in Exercises 15–20.

θ dy/dθ + y = sin θ, θ > 0, y(π/2) = 1